Results 1 to 10 of about 389,954 (327)

Modular Forms and Weierstrass Mock Modular Forms [PDF]

Mathematics, 2016
Alfes, Griffin, Ono, and Rolen have shown that the harmonic Maass forms arising from Weierstrass ζ-functions associated to modular elliptic curves “encode” the vanishing and nonvanishing for central values and derivatives of twisted Hasse-Weil L ...
Amanda Clemm
doaj   +3 more sources

Mock modular forms as $p$-adic modular forms [PDF]

Transactions of the American Mathematical Society, 2012
17 ...
Bringmann, Kathrin, Guerzhoy, Pavel, KANE, BEN   +2 more
openaire   +7 more sources

Holomorphic subgraph reduction of higher-point modular graph forms

Journal of High Energy Physics, 2019
Modular graph forms are a class of modular covariant functions which appear in the genus-one contribution to the low-energy expansion of closed string scattering amplitudes.
Jan E. Gerken, Justin Kaidi
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HOLOMORPHIC ALMOST MODULAR FORMS [PDF]

Bulletin of the London Mathematical Society, 2004
Holomorphic almost modular forms are holomorphic functions of the complex upper half plane which can be approximated arbitrarily well (in a suitable sense) by modular forms of congruence subgroups of large index in $\SL(2,\ZZ)$. It is proved that such functions have a rotation-invariant limit distribution when the argument approaches the real axis.
Marklof, Jens
openaire   +6 more sources

Modular forms and hierarchical Yukawa couplings in heterotic Calabi-Yau compactifications [PDF]

Journal of High Energy Physics
We study the modular symmetry in heterotic string theory on Calabi-Yau threefolds. In particular, we examine whether moduli-dependent holomorphic Yukawa couplings are described by modular forms in the context of heterotic string theory with standard ...
Keiya Ishiguro, Tatsuo Kobayashi, Satsuki Nishimura, Hajime Otsuka   +3 more
doaj   +2 more sources

Computing mod ℓ Galois representations associated to modular forms for small primes

AIMS Mathematics, 2023
In this paper, we propose an algorithm for computing mod $ \ell $ Galois representations associated to modular forms of weight $ k $ when $ \ell < k-1 $. We also present the corresponding results for the projective Galois representations. Moreover, we
Peng Tian , Ha Thanh Nguyen Tran , Dung Hoang Duong   +2 more
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On the common zeros of quasi-modular forms for Γ+0(N) of level N = 1, 2, 3

Open Mathematics
In this article, we study common zeros of the iterated derivatives of the Eisenstein series for Γ0+(N){\Gamma }_{0}^{+}\left(N) of level N=1,2,and2,N=1,2, and 3, which are quasi-modular forms.
Im Bo-Hae, Kim Hojin, Lee Wonwoong
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Computing Hilbert modular forms as orthogonal modular forms [PDF]

31 ...
Jeffery P. Hein, Gonzalo Tornaría, John Voight   +2 more
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Slopes of Modular Forms

, 2016
We survey the progress (or lack thereof!) that has been made on some questions about the p-adic slopes of modular forms that were raised by the first author in [Buz05], discuss strategies for making further progress, and examine other related questions.
Buzzard, Kevin, Gee, Toby
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Perfectoid Drinfeld Modular Forms [PDF]

Journal de théorie des nombres de Bordeaux, 2022
In the first part, we revisit Drinfeld modular curves associated to GL(2) from the perfectoid point of view, and we show how to recover (a perfectized) part of the theory of overconvergent π-adic Drinfeld modular forms. In the second part, we review open problems for families of Drinfeld modular forms for GL(n).
Nicole, Marc-Hubert, Rosso, Giovanni
openaire   +2 more sources